The solution to the system of equation is (7/5, 22/5)
System of equationGiven the system of equation as shown below;
4x + y = 10 * 2
3x - 2y = 13 * 1
_____________
8x + 2y = 20
3x - 2y = 13
Subtract
8x - 3x = 20 - 13
5x = 7
x = 7/5
Substitute the value of x into any of the equation
4x + y = 10
4(7/5) + y = 10
28/5 + y = 10
y = 10 - 28/5
y = 22/5
Hence the solution to the system of equation is (7/5, 22/5)
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Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).
Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
As given in the question,
Coordinates of vertices K(-2,1) and M(10,6)
KM = [tex]\sqrt{ (10-(-2)^{2} +(6-1)^{2} }[/tex]
= [tex]\sqrt{12^{2}+5^{2} }[/tex]
= 13units
In equilateral triangle KL = LM = KM = 13 units
Perimeter of equilateral triangle KLM = 13 +13 +13
= 39 units
Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
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the lcm of (1/√2) + (1/√2)
Answer: LCM would be [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First we need to find number of which we need to find lcm
here we dont have any two number but operator (+) is present
so
first we need to solve this operation
=1/[tex]\sqrt{2}[/tex] + 1/[tex]\sqrt{2}[/tex]
=[tex]\sqrt{2}[/tex]
so lcm of [tex]\sqrt{2}[/tex] would be [tex]\sqrt{2}[/tex].
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Suppose that you are playing blackjack against a dealer. in a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?
The probability that neither you nor the dealer is dealt a blackjack will be 1/26.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck.
Then the total number of the event will be
Total events = 52
Then the probability that neither you nor the dealer is dealt a blackjack will be
Favorable event = 2 {Spade of Jack and Club of Jack}
Then the probability of that events will be
P = 2 / 52
P = 1 / 26
The probability that neither you nor the dealer is dealt a blackjack will be 1/26.
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Simplify this expression
12g+9g
Answer:
21g
Step-by-step explanation:
12 + 9 = 21 then add the variable.
After Simplify this expression 12 g + 9 g. We get, 21g.
To simplify this expression
12 g + 9 g,
Add ( 12 + 9) ,which is 21
So, 12 g + 9 g = 21 g.
Therefore, the final answer is 12 g + 9 g = 21 g.
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What is a major area of jurisdiction for local law enforcement agencies
Answer:
Patrolling Communities.
Step-by-step explanation:
Bit much for this lol
The domain and the range of the reciprocal function are the set of all real numbers. True or false?.
False. All real numbers, with the exception of 0 because f (0) = 1 0, fall inside the reciprocal function's domain and range. Y cannot be 0 if x cannot, either.
What are real numbers?In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are used in measurements of continuously varying quantities such as size and time. They are distinguished from imaginary numbers, which use the symbol I or the square root of 1, by the word "real." A complex number has a real (1) and an imaginary I component, like 1 + i. The positive and negative integers, as well as the fractions created from them (also known as rational numbers), as well as the irrational numbers, are all real numbers.
Contrary to rational numbers, whose decimal expansions always contain a digit or group of digits that repeats itself, such as 1/6 = 0.16666... or 2/7 = 0.285714285714, irrational numbers have decimal expansions that do not repeat themselves. Since there is no regularly repeating group in the decimal produced as 0.42442444244442, it is irrational.
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Kyrie and Jayla were trying to describe parts
of the expression (5p+ 3)(p+1).
Jayla said, "The entire expression is the
sum of 5 terms."
Kyrie said, "The entire expression is the
product of 4 factors."
Step-by-step explanation:
did you leave something out ?
(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =
= 5p² + 5p + 3p + 3 = 5p² + 8p + 3
at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.
but we always have also additions, not only multiplications (products).
so, none of the 2 options is correct.
we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1
(5p + 3)(p + 1)×1×1
then we have the expression as product of 4 factors.
in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.
I strongly suspect there is something missing in the problem description.
Answer:
Neither is correct.
Step-by-step explanation:
what is the value of a?
A.-16
B.-3
C.3
D.16
Answer:
Which equation do I refer to?
Step-by-step explanation:
help a soon as possible i don't know how to work this out
Answer:
the answer of finding highest common factor is 286286
Answer:
24167 ( or 11 x 13^3)
Step-by-step explanation:
x = 2 x 7 x 11 x 11^2 x 13^3 x 13^2
y = 3 x 11 x 13^3
The underlined are common factors of x and y
11 x 13^3 = 24167 is the GCF
x-7=15 answer please
Answer:
22.
Step-by-step explanation:
22-7=15.
The sum of 2, 6, and a number amounts to 15. Find the number.
We know circle A is a congruent to circle B because
Since the radii of Circle A and Circle B are the same length, we know they are congruent.
What is defined as the congruent circles?Congruency is a geometric term that refers to objects that share the same size and shape (dimension).
Two circles, as well as other geometrical shapes such as triangles, quadrilaterals, or polygons, can be congruent. The center and radius of a circle are the two properties that define it. Because congruency is independent of location and then a circle remains the same irrespective of rotation and reflection, the radius of a circle determines its congruence.Again, because a radius 'r' is a constant (its value does not change) and is only equal to some other constant, all circles that have the same radius (and any value dependent on radius) are congruent to each other.For the given two circles, A and B are said to be congruent if the radii of both the circles are equal.
Thus, for circles to be congruent, the radii must be equal.
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Rubén put an empty cup underneath a leaking faucet after 1 1/2 hours Ruben had collected 1/4 cup of water. What is the rate in cups per hour at which the water is leaking from the faucet
The rate of water leaking from the faucet is 0.167 cups per hour.
What is defined as the flow rate?The volume of fluid which flows through with a given cross-sectional unit of time is defined as flow rate.The volume per time unit offered to the flow of gases or even other fluid substances that emerge from an orifice, pump, turbine, or pass through a conduit or channel is referred to as flow rate.For, the given question;
Divide the amount of water accumulated by the number of hours to find the rate that the water is leaking out from faucet.
Let 'r' be the flow rate.
The formula for flow rate is;
Flow rate = volume / time
r = 0.25 cup / 1.5 hours
r = 0.167 cup/hour
As a result, the rate of water leaking from faucet is roughly equivalent to 0.167 cup/h.
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A water well drilling rig has dug to a height of -30 feet after one full day (24 hours),of continuous use. assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours (5/8 days)?
The Height of the drill after 15 hours was 18.75 feet deep or (-18.75) feet.
Given that in 24 hours
the water well drilling rig dig -30 feet .
we know that ,
24 hours = 1 day
So,
1 hour =1/24 day
15 hours = [tex]\frac{15}{24} =\frac{5}{8} day[/tex]
Now according to the question ,
in 1 day the drilling rig dug -30 feet
So in [tex]\frac{5}{8} day[/tex] the drilling rig will dig =[tex]\frac{5}{8} *(-30)=-18.75feet[/tex]
in 15 hours (5/8 days ) drilling rig dig -18.75 feet.
Therefore , The Height of the drill after 15 hours (5/8 days) was 18.75 feet deep or (-18.75) feet.
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One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill it
in 24 minutes. If the tank is empty how long will it take the three pipes, operating together,
to fill it?
A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS
The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.
What is the speed?Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.
And 2.5 hours are used traveling back.
Downstream, the boat moves 2 miles per hour more quickly.
Let the speed of travel upstream would be x
⇒ 3.5x = 2.5(x + 2)
⇒ 3.5x = 2.5x + 5
⇒ 3.5x - 2.5x = 5
⇒ x = 5
So the distance traveled by boat upstream would be
= 3.5 × 5
= 17.5 miles per hour
Therefore, the boat travels 5 miles downstream.
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A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their weights? be sure to include the appropriate units with the result.
The variance of their weights is 128.87270 kg².
It is required to find the variance of their weights.
What is standard deviation ?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
Let n=sample size=10 subjects
Standard deviation=11.352211.3522 kg
Using this formula
Variance=(Standard deviation)²
By the formula we get,
Variance=(11.352211.3522 kg)²
Variance=128.87270 kg²
Therefore, the variance of their weights is 128.87270 kg².
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Three angles are shown, ZHRM, ZHRD, and ZDRM.
D
M
H
If m/HRM = 54°, m/HRD =
m/DRM =
(²7*+11) ².
4
R
(1/22 +22), ar
x
and
what is the value of x?
Answer:
28
Step-by-step explanation:
By the angle addition postulate,
[tex]54=\frac{1}{2}x+22+\frac{1}{4}x+11 \\ \\ 54=\frac{3}{4}x+33 \\ \\ 21=\frac{3}{4}x \\ \\ x=28[/tex]
2x+3=7
this equation has multiplication and addition in it. to solve this equation you need to get x by itself which means you need to get 2x by itself first. how can you do this?
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
Doing this will leave 2x by itself.
Answer:
read below
Step-by-step explanation:
2x + 3 = 7
To isolate 2x, subtract 3 from both sides of the equation.
[tex]2x + \frac{3}{-3} = \frac{7}{-3}[/tex]
3 - 3 = 0
7 - 3 = 4
[tex]2x = 4[/tex]
divide both sides by 2
[tex]x = 2[/tex]
3x + 2.3 = 11.6 help please
Solution:
[tex]x=3.1[/tex]
Hope this helps!
Answer:
x = 3.1
Step-by-step explanation:
3x + 2.3 = 11.6
3x = 11.6 - 2.3
3x = 9.3
x = 9.3/3
x = 3.1
Check:
3*3.1 + 2.3 = 11.6
9.3 + 2.3 = 11.6
Can someone help me with this please?
since you said please: 127*
In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices
In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance statistic is computed.
What is Analysis of variance ?
With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.What are some instances where ANOVA has been applied?
An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.Learn more about Analysis of variance
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4. What is the slope of the line that passes through the given points?
(3, 2) and (5, 12)
05
0-5
0-1
O
5
Answer:
5
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
12-2/5-3=
=10/2=5
The slope is 5.
Hope this helps!
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Are -345° and 2185° co-terminal?
Answer:
No
Step-by-step explanation:
You want to know if angles -345° and 2185° are coterminal.
Coterminal anglesAngles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.
-345° / 360° = -1 remainder 15°
2185° / 360° = 6 remainder 25°
These angles have different values, modulo 360°, so are not co-terminal.
What is 6+42 for gcf
Answer:
48
Step-by-step explanation:
Essay writers are okay but seriously just gotta include the answer ;-;
Answer: 6 should be your answer
Explanation: Depending on how many and how large the numbers are, there are a variety of approaches to compute the GCF of a collection of integers.
Simply look at each number's components or multiples to get its largest common multiple for lesser numbers.
These factors look like this for 6 and 42:
1, 2, 3, and 6 are the six factors.
1, 2, 3, 6, 7, 14, 21, and 42 are the 42 factors.
Find the amount in jay's account after 6 years when the principal deposit was $285 and is compounded annually with a rate of 1.9%.
The amount in Jay's account after 6 years is $357.20.
Given that, the principal=$285, time period=6 years and rate of interest =1.9%.
We need to find the amount in Jay's account after 6 years.
How to calculate the compound interest?Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is [tex]A=P(1+\frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Now, [tex]A=285(1+\frac{1.9}{100} )^{6}=285(1.019)^{6}[/tex]
=285×1.1195=$357.20
Therefore, the amount in Jay's account after 6 years is $357.20.
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The following histogram summarizes the amount spent on plane tickets to travel home, in dollars, for a group of 30 college students
The sum of the frequencies
Let’s assume hypothetical data, various values occur multiple times and we have divided that given data or values into a certain interval that interval is termed a class, and the lower value is called the lower limit and the upper interval is called the lower limit of that class respectively.
Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values when we add all these frequencies, we will get the number of elements in the given data.
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Although part of the question is missing the question is the following histogram summarizes the amount spent on plane tickets to travel home in dollars for a group of 30 college students. If the interval size is decreased from $200 to $100 which of the following must remain the same on the new histogram?
Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The centroid Z of the triangle TRS. Line sections TW, RV, and SU are created by drawing lines from every point to the center of the opposing side.
We know that the centroid divides the median of the triangle in a ratio of 2: 1.
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be
RZ / ZV = 2 / 1
RZ / 6 = 2
RZ = 6 x 2
RZ = 12 inches
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
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find the equations for the lines through the point (a, c) that are parallel to and perpendicular to the line y
Lines can be perpendicular or parallel to one another.
The parallel line's equation is y = mx - am + c.The perpendicular line's equation is y = -(x/m) + a/m + c.What do we mean by linear equation?
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.So,
A linear equation is written as: y = mx + b
Where, m = slope.
(A) Parallel equation:
The slope of a line parallel to y = mx + b is the same as the slope of y = mx + b, that is the slope is the equation in m.
The equation is then solved as follows:
y = m(x - x₁) + y₁Where:
(x₁,y₁) = (a,c)Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁ as follows:
y = m (x - a) + c
y = mx - am + c
So, the equation of a line is y = mx - am + c.
(B) Parallel equation:
The slope (m2) of a perpendicular line to y = mx + b is:
m₂ = -(1/m)The equation is then solved as follows:
y = m₂(x - x₁) + y₁Where:
(x₁,y₁) = (a,c)m₂ = -(1/m)Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁
y = -(1/m)(x - a) + cy = -(x/m) + a/m + cThe perpendicular line's equation is y = -(x/m) + a/m + c.
Therefore, lines can be perpendicular or parallel to one another.
The parallel line's equation is y = mx - am + c.The perpendicular line's equation is y = -(x/m) + a/m + c.Know more about the linear equation here:
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The correct question is given below:
Find the equations for the lines through the point (a,
c.that are parallel to and perpendicular to the line y = mx + b where m ≠ 0. use y for the dependent variable and all letters in lower case.
Laila needs 6 1/4 feet of chain to complete a project an outdoor project. She has two small pieces measuring 1 1/4 feet and 2 1/2 feet. How many feet of chain does laila need to purchase?
First you want to make the fractions have equal denominators. So you want to convert 1/2 to 2/4. Now you can add 1 1/4 to 2 2/4. After adding that subtract it from 6 1/4. Whatever your answer is will be how much more she needs.